1,721,277 research outputs found
Transport matrix of a solenoid with linear fringe field
No full textThe problem of the transport matrix through a solenoid with a linear fringe field is solved exactly. The mathematical problem is simplified by the introduction of a new set of functions that generalize the ordinary hyperbolic functions. The results are used to characterize the physical properties of a solenoid exploited as magnetic Ions. In particular it is shown that the role of a solenoid, with a linear fringe, in the transport of an electron beam is equivalent to the combined effect of a thin lens, a drift section and a beam expander
A model of laser heater undulator system for self-amplified free electron lasers
No full textThe laser heater has been proposed to damp the microbunching instability affecting the operation of free electron laser (FEL) self-amplified spontaneous emission (SASE) devices. The heater may be provided by an external laser or by a FEL oscillator using the same electron beam driving the SASE-FEL operation. The second solution offers undoubtful advantages, which will be discussed in this paper. We present simple physical arguments which allow the derivation of a criterion yielding the amount of laser power necessary to damp the instability, without compromising the FEL SASE operation
The truncated exponential polynomials, the associated Hermite forms and applications
Full text linkWe discuss the properties of the truncated exponential polynomials and
develop the theory of new form of Hermite polynomials, which can be
constructed using the truncated exponential as a generating function. We
derive their explicit forms and comment on their usefulness in applications,
with particular reference to the theory of flattened beams, used in optics
Operational methods for integro-differential equations and applications to problems in particle accelerator physics
No full textEvolution operators and Euler angles
No full textThe Euler rotation matrix and angles are derived within a context exploiting evolution operators for vector differential equations
Hermite polynomials with more than two variables and associated bi-orthogonal functions
No full textWe show that under appropriate conditions the Hermite polynomials, with more than two variables, belong to bi-orthogonal sets. We extend the result to the case of Bell-type polynomials
Motion of bodies in apparent force fields and evolution operator methods
No full textWe show, that methods currently exploited in quantum mechanics, like the evolution operator technique, can be employed to deal with the motion of bodies subject to apparent forces. The method we propose allows the inclusion of velocity-dependent forces of friction type and offers the possibility of developing fast and reliable algorithms for numerical computations
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